Answer:
30 s
Step-by-step explanation:
When the ball hits the ground h=0. To find the time t when this happens we must solve the equation h=0.
●h= 0
● -12t^2+360t =0
● t(-12t +360) = 0
● t = 0 or -12t +360 =0
● t=0 or -12t = -360
● t=0 or 12t =360
● t=0 or t=360/12
● t=0 or t= 30
The equation has two solutions.
The ball was fired with an initial speed of 800 feet per second so it cannot hit the ground at t=0.
So the ball hits the ground after 30 s.
The number of sides is the same as the number of lines of symmetry and the order of rotational symmetry.
So, a regular decagon would have 10 lines of symmetry.
Answer:
The square would be 25p^2 - 90p + 81
Step-by-step explanation:
To get this, use the FOIL method. In this, we multiply the first, outer, inner and last pairings.
First - Multiply the first number in each parenthesis.
5p * 5p = 25p^2
Outer - Multiply the outside numbers in each parenthesis.
5p * -9 = -45p
Inner - Multiply the inner numbers in each parenthesis.
-9 * 5p = -45p
Last = Multiply the last numbers in each parenthesis
-9 * -9 = 81
Now take all of those numbers and add together. Then simplify.
25p^2 - 45p - 45p + 81
25p^2 - 90p + 81
Answer:
AED 15,000
Step-by-step explanation:
Depreciation is a reduction in the value or worth of an asset as a result of use.
Given that the car is depreciated by 20%, it means that the value of the car after the application of depreciation is the result of the original price of the car less the amount of depreciation which has been given as 20% of the original price.
Let the original price of the car (its price when it was new) be T then
T - 0.2T = 12,000
0.8T = 12,000
T = 12,000/0.8
= AED 15,000
There could be a strong correlation between the proximity of the holiday season and the number of people who buy in the shopping centers.
It is known that when there are vacations people tend to frequent shopping centers more often than when they are busy with work or school.
Therefore, the proximity in the holiday season is related to the increase in the number of people who buy in the shopping centers.
This means that there is a strong correlation between both variables, since when one increases the other also does. This type of correlation is called positive. When, on the contrary, the increase of one variable causes the decrease of another variable, it is said that there is a negative correlation.
There are several coefficients that measure the degree of correlation (strong or weak), adapted to the nature of the data. The best known is the 'r' coefficient of Pearson correlation
A correlation is strong when the change in a variable x produces a significant change in a variable 'y'. In this case, the correlation coefficient r approaches | 1 |.
When the correlation between two variables is weak, the change of one causes a very slight and difficult to perceive change in the other variable. In this case, the correlation coefficient approaches zero
